Department of Mathematics

Geometry and Topology

  •  Keegan Boyle, UBC
  •  Equivariant genera of strongly invertible knots
  •  03/16/2021
  •  2:50 PM - 3:40 PM
  •  Online (virtual meeting) (Virtual Meeting Link)
  •  Honghao Gao (gaohongh@msu.edu)

Given a knot $K$, the minimum genus of an orientable surface embedded in $S^3$ or $B^4$ with boundary $K$ is a natural measure of knot complexity. In this talk I will generalize this idea to involutions on knots, focusing on the case where the involution preserves the orientation of $S^3$, but reverses the orientation of $K$. This talk is elementary in nature and will be very accessible. This is joint work with Ahmad Issa.

 

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Department of Mathematics
Michigan State University
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East Lansing, MI 48824

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College of Natural Science